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BEARING
CAPACITY
THEORY
BEARING
CAPACITY
1
• The term ‘Bearing cpacity of soil‘ is used to
indicate the maximum load per unit area which
the soil will resist safely without displacement
• By dividing the ultimate bearing power of soil
by a factor of safely,the bearing capacity of a
soil is obtained……….
2
DEFENITION
MAXIMUM SAFE BEARING CAPACITY OF SOIL ::-
It’s used to indicate the max.pressure that a soil can bear without
any risk of shear failure only , irrespective of any settlement that
may occur
ALLOWABLE BEARING PRESSURE ON SOIL::-
Used to indicate the max.pressure which can be exerted on a soil
while taking into account shear failure settlement and the ability of
structure to resist settlement.thus its value will depend on the
nature of ground and the type of building.
NET PRESSURE INTENCITY::-its used to indicate the excess pressure
or the diff. in the intencities of the gross pressure after the
construction of the structure and the original overburden pressure
3
Important…..
BEARING CAPACITY FAILURE
a) General Shear Failure Most
common type of shear
failure; occurs in strong
soils and rocks
b) Local Shear Failure
Intermediate between
general and punching shear
failure
c) Punching Shear Failure
Occurs in very loose sands
weak clays
4
BEARING CAPACITY FAILURE
5
General shear failure
Local shear failure
Punching shear
failure
SOIL CONDITIONS AND
BEARING
CAPACITY FAILURE
6
LOAD DISPLACEMENT
CURVES (AFTER VESICʼ (1973))
a) General Shear Failure
b) Local Shear Failure
c) Punching Shear Failure
7
COMMENTS ON SHEAR FAILURE
 Usually only necessary to analyze
general shear failure.
 Local and punching shear failure can
usually be anticipated by settlement
analysis.
 Failure in shallow foundations is
generally settlement failure; bearing
capacity failure must be analyzed,
but in practical terms is usually
secondary to settlement analysis.
8
DEVELOPMENT OF BEARING CAPACITY THEORY
 Application of limit equilibrium methods
first done by Prandtl on the punching of
thick masses
 of metal.
 Prandtl's methods adapted by Terzaghi
to bearing capacity failure of shallow
foundations.
 Vesicʼ and others improved on Terzaghi's
original
 theory and added other factors for a
more complete analysis
9
ASSUMPTIONS FOR TERZAGHI'S
METHOD
 Depth of foundation is less than or
equal to its width
 No sliding occurs between foundation
and soil
 (rough foundation)
 Soil beneath foundation is
homogeneous semi infinite mass
 Mohr-Coulomb model for soil
 General shear failure mode is the
governing
 mode (but not the only mode)
10
ASSUMPTIONS FOR TERZAGHI'S
METHOD
 No soil consolidation occurs
 Foundation is very rigid relative to the
soil.
 Soil above bottom of foundation has no
shear
strength; is only a surcharge load against
the
overturning load.
 Applied load is compressive and applied
vertically to the centroid of the
foundation
 No applied moments present
11
TERZAGHI'S METHOD
 Since soil cohesion can be difficult to
quantify, conservative values of c (cohesion)
should be used.
 Frictional strength is more reliable and does
not need to be as conservative as cohesion.
 Terzaghi's method is simple and familiar to
many geotechnical engineers; however, it
does not take into account many factors, nor
does it consider cases such as rectangular
foundations.
12
FAILURE GEOMETRY FOR TERZAGHI'S
METHOD
13
PRESUMPTIVE BEARING CAPACITY
 Building codes of various organizations in
different countries gives the allowable
bearing capacity that can be used for
proportioning footings.
 These presumptive bearing capacity values
based on experience with other structures
already built.
 As presumptive values are based only on
visual classification of surface soils, they are
not reliable.
 These values don't consider important
factors affecting the bearing capacity such
as the shape, width, depth of footing,
location of water table, strength and
compressibility of the soil. 14
 Generally these values are conservative and
can be used for preliminary design or even
for final design of small unimportant
structure.
 IS1904-1978 recommends that the safe
bearing capacity should be calculated on the
basis of the soil test data. But, in absence of
such data, the values of safe bearing
capacity can be taken equal to the
presumptive bearing capacity values.
 It is further recommended that for non-
cohesive soils, the values should be reduced
by 50% if the water table is above or near
base of footing.
15
16
MEYERHOF’S ANALYSIS
 Assumptions
 Failure zones to extend above base level of
the footing.
 The logarithmic spiral extends right up to
the ground surface.
 Meyerhof (1951, 1963 ) proposed an
equation for ultimate bearing capacity of
strip footing which is similar in form to that
of Terzaghi but includes shape factors,
depth factors and inclination factors.
 Meyerhof's equation is
17
VESIC'S BEARING CAPACITY THEORY
 Vesic(1973) confirmed that the basic nature
of failure surfaces in soil as suggested by
Terzaghi as incorrect.
 Developed formulas based on theoretical and
experimental findings.
 Vesić retained Terzaghi’s basic format and
added additional factors, which produces
more accurate bearing capacity values.
 Applies to a much broader range of loading
and geometry conditions.
18
 The bearing capacity formula is re-written as
19
SKEMPTON’S ANALYSIS
 Skempton (1951) based on his investigations
of footings on saturated clays observed that
the bearing capacity factor �C is a function
of ratio D/B in the case of strip footing and
square or circular footings, for Φ = 0
condition.
 Bearing capacity factors in Terzaghi's
equation tends to increase with depth for a
cohesive soil.
20
21
FIELD TESTS: DIRECT DETERMINATION OF
BEARING CAPACITY OF SOIL
 Plate Load Test
 Vane Shear test
 Dynamic cone penetration
 Field-Density (approximation)
 Field observation
 Previous Knowledge
 Field Sample Collection
22
PLATE LOAD TEST
 Simplest and widely used field test- plate
load test
 A square pit of sides equal to five times the width of
test plate is dug up to the required depth.
 Test plates are iron plates of size 60cm square for
clayey soil 30cm square for sandy soil.
 At the centre of the pit, a square hole of size equal to
the test plate is dug.The bottom of the test plate
should be along the proposed foundation level.
(b1/d1=b2/d2)
23
24
 Seat the plate accurately over the
centre of pit and it should be in
contact with the soil over the
whole area
 A loading post and hydraulic jack
is provided above the test
plate.Hydraulic jack support a
gravity loading platform. The
loading is done with sand
bags,concrete blocks.
 Load is increased in regular
increments of 250kg or 1/5th
of
ultimate bearingcapacity
whichever is less
25
 Each loading increment is kept in postion until no
further measurable settlement occurs. Settlement of
the plate is measured by two sensitive dial guage of
sensitivity 0.02mm.
 Plot a graph between settlement and load.
 From the graph measure maximum load upto which
settlement is proportional
26
FACTOR OF SAFETY MAY BE 2 OR 3
 ultimate Bearing capacity of soil = Maximum
load/area of test plate
 Safe bearing capacity
27
METHODS FOR IMPROVING BEARING CAPACITY
OF SOIL
 Increase the depth of foundation
 By draining the soil
 Water content in soil will decreases its bearing capacity
 By draining sandy soil and gravel by gravity pipe drainage system-
improve bearing capacity
 By compacting the soil
 Reduces the open spaces between the individual particles
 By grouting
 Cement mortar can be injected under pressure into the subsoil to
seal off voids in between subsoil and foundation.
28
 By confining the soil
 Sheet piles are driven around the structure to form an enclosure
 Which will prevent the movement of soil.
 Chemical treatment
 Chemical solution are injected under pressure into the soil
 Forms a gel and keep soil particles together to form a compact
mass.
 By grouting
 Cement mortar can be injected under pressure into the subsoil to
seal off voids in between subsoil and foundation.
29
FIELD TESTS: CALCULATION BASED ON
ENGINEERING PROPERTIES
 Shear tests: measuring shear strength of
soil
 Triaxial test: measurement of shear strength
in all three dimensions
 Consolidation test: expulsion of water under
static sustained load.
 Settlement Analysis: analysis of load bearing
based on settlement of soil.
30
THANK YOU……
31
Harigovind s
Roll no :22
S1 s2

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Bearing capacity of soil final

  • 2. • The term ‘Bearing cpacity of soil‘ is used to indicate the maximum load per unit area which the soil will resist safely without displacement • By dividing the ultimate bearing power of soil by a factor of safely,the bearing capacity of a soil is obtained………. 2 DEFENITION
  • 3. MAXIMUM SAFE BEARING CAPACITY OF SOIL ::- It’s used to indicate the max.pressure that a soil can bear without any risk of shear failure only , irrespective of any settlement that may occur ALLOWABLE BEARING PRESSURE ON SOIL::- Used to indicate the max.pressure which can be exerted on a soil while taking into account shear failure settlement and the ability of structure to resist settlement.thus its value will depend on the nature of ground and the type of building. NET PRESSURE INTENCITY::-its used to indicate the excess pressure or the diff. in the intencities of the gross pressure after the construction of the structure and the original overburden pressure 3 Important…..
  • 4. BEARING CAPACITY FAILURE a) General Shear Failure Most common type of shear failure; occurs in strong soils and rocks b) Local Shear Failure Intermediate between general and punching shear failure c) Punching Shear Failure Occurs in very loose sands weak clays 4
  • 5. BEARING CAPACITY FAILURE 5 General shear failure Local shear failure Punching shear failure
  • 7. LOAD DISPLACEMENT CURVES (AFTER VESICʼ (1973)) a) General Shear Failure b) Local Shear Failure c) Punching Shear Failure 7
  • 8. COMMENTS ON SHEAR FAILURE  Usually only necessary to analyze general shear failure.  Local and punching shear failure can usually be anticipated by settlement analysis.  Failure in shallow foundations is generally settlement failure; bearing capacity failure must be analyzed, but in practical terms is usually secondary to settlement analysis. 8
  • 9. DEVELOPMENT OF BEARING CAPACITY THEORY  Application of limit equilibrium methods first done by Prandtl on the punching of thick masses  of metal.  Prandtl's methods adapted by Terzaghi to bearing capacity failure of shallow foundations.  Vesicʼ and others improved on Terzaghi's original  theory and added other factors for a more complete analysis 9
  • 10. ASSUMPTIONS FOR TERZAGHI'S METHOD  Depth of foundation is less than or equal to its width  No sliding occurs between foundation and soil  (rough foundation)  Soil beneath foundation is homogeneous semi infinite mass  Mohr-Coulomb model for soil  General shear failure mode is the governing  mode (but not the only mode) 10
  • 11. ASSUMPTIONS FOR TERZAGHI'S METHOD  No soil consolidation occurs  Foundation is very rigid relative to the soil.  Soil above bottom of foundation has no shear strength; is only a surcharge load against the overturning load.  Applied load is compressive and applied vertically to the centroid of the foundation  No applied moments present 11
  • 12. TERZAGHI'S METHOD  Since soil cohesion can be difficult to quantify, conservative values of c (cohesion) should be used.  Frictional strength is more reliable and does not need to be as conservative as cohesion.  Terzaghi's method is simple and familiar to many geotechnical engineers; however, it does not take into account many factors, nor does it consider cases such as rectangular foundations. 12
  • 13. FAILURE GEOMETRY FOR TERZAGHI'S METHOD 13
  • 14. PRESUMPTIVE BEARING CAPACITY  Building codes of various organizations in different countries gives the allowable bearing capacity that can be used for proportioning footings.  These presumptive bearing capacity values based on experience with other structures already built.  As presumptive values are based only on visual classification of surface soils, they are not reliable.  These values don't consider important factors affecting the bearing capacity such as the shape, width, depth of footing, location of water table, strength and compressibility of the soil. 14
  • 15.  Generally these values are conservative and can be used for preliminary design or even for final design of small unimportant structure.  IS1904-1978 recommends that the safe bearing capacity should be calculated on the basis of the soil test data. But, in absence of such data, the values of safe bearing capacity can be taken equal to the presumptive bearing capacity values.  It is further recommended that for non- cohesive soils, the values should be reduced by 50% if the water table is above or near base of footing. 15
  • 16. 16
  • 17. MEYERHOF’S ANALYSIS  Assumptions  Failure zones to extend above base level of the footing.  The logarithmic spiral extends right up to the ground surface.  Meyerhof (1951, 1963 ) proposed an equation for ultimate bearing capacity of strip footing which is similar in form to that of Terzaghi but includes shape factors, depth factors and inclination factors.  Meyerhof's equation is 17
  • 18. VESIC'S BEARING CAPACITY THEORY  Vesic(1973) confirmed that the basic nature of failure surfaces in soil as suggested by Terzaghi as incorrect.  Developed formulas based on theoretical and experimental findings.  Vesić retained Terzaghi’s basic format and added additional factors, which produces more accurate bearing capacity values.  Applies to a much broader range of loading and geometry conditions. 18
  • 19.  The bearing capacity formula is re-written as 19
  • 20. SKEMPTON’S ANALYSIS  Skempton (1951) based on his investigations of footings on saturated clays observed that the bearing capacity factor �C is a function of ratio D/B in the case of strip footing and square or circular footings, for Φ = 0 condition.  Bearing capacity factors in Terzaghi's equation tends to increase with depth for a cohesive soil. 20
  • 21. 21
  • 22. FIELD TESTS: DIRECT DETERMINATION OF BEARING CAPACITY OF SOIL  Plate Load Test  Vane Shear test  Dynamic cone penetration  Field-Density (approximation)  Field observation  Previous Knowledge  Field Sample Collection 22
  • 23. PLATE LOAD TEST  Simplest and widely used field test- plate load test  A square pit of sides equal to five times the width of test plate is dug up to the required depth.  Test plates are iron plates of size 60cm square for clayey soil 30cm square for sandy soil.  At the centre of the pit, a square hole of size equal to the test plate is dug.The bottom of the test plate should be along the proposed foundation level. (b1/d1=b2/d2) 23
  • 24. 24
  • 25.  Seat the plate accurately over the centre of pit and it should be in contact with the soil over the whole area  A loading post and hydraulic jack is provided above the test plate.Hydraulic jack support a gravity loading platform. The loading is done with sand bags,concrete blocks.  Load is increased in regular increments of 250kg or 1/5th of ultimate bearingcapacity whichever is less 25
  • 26.  Each loading increment is kept in postion until no further measurable settlement occurs. Settlement of the plate is measured by two sensitive dial guage of sensitivity 0.02mm.  Plot a graph between settlement and load.  From the graph measure maximum load upto which settlement is proportional 26
  • 27. FACTOR OF SAFETY MAY BE 2 OR 3  ultimate Bearing capacity of soil = Maximum load/area of test plate  Safe bearing capacity 27
  • 28. METHODS FOR IMPROVING BEARING CAPACITY OF SOIL  Increase the depth of foundation  By draining the soil  Water content in soil will decreases its bearing capacity  By draining sandy soil and gravel by gravity pipe drainage system- improve bearing capacity  By compacting the soil  Reduces the open spaces between the individual particles  By grouting  Cement mortar can be injected under pressure into the subsoil to seal off voids in between subsoil and foundation. 28
  • 29.  By confining the soil  Sheet piles are driven around the structure to form an enclosure  Which will prevent the movement of soil.  Chemical treatment  Chemical solution are injected under pressure into the soil  Forms a gel and keep soil particles together to form a compact mass.  By grouting  Cement mortar can be injected under pressure into the subsoil to seal off voids in between subsoil and foundation. 29
  • 30. FIELD TESTS: CALCULATION BASED ON ENGINEERING PROPERTIES  Shear tests: measuring shear strength of soil  Triaxial test: measurement of shear strength in all three dimensions  Consolidation test: expulsion of water under static sustained load.  Settlement Analysis: analysis of load bearing based on settlement of soil. 30